Consider the time domain waveforms below on the left. Match waveforms (a) - (e) to their respective frequency spectrum representation on the right. Which frequency spectrum matches waveform a? Put the number only in the space. Which frequency spectrum matches b? Put the number only in the space.
Which frequency spectrum matches c? Put the number only in the space.
Which frequency spectrum matches d? Put the number only in the space.
Which frequency spectrum matches e? Put the number only in the space.

(a) ------(3). (b)------(1) (c)-----(5) (d)------(2) ------ (e) -----4

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Sources: the diagram to this question was researched from Quizlet

Explanation:

Solution

(1) Part (a)a waveform has a high frequency components compared to another waveform. the corresponding frequency components should be high.

So for the wave form a  the corresponding frequency spectrum is (3)

(2) For part (b), waveform has three harmonics, the corresponding frequency spectrum is (1)

(3) The time domain waveform plot (c) is a sine wave but there exists a dc component.

Thus x[0] ≠0

For (c) the corresponding frequency spectrum is (5)

(4) For part (d) the corresponding frequency spectrum is (2)

(5) A sine wave is made of a single frequency only and its spectrum is a single point

For (e) the corresponding frequency spectrum is (4)

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